Output feedback stabilization of nonlinear discrete-time systems with time-delay

Abstract

This article considers both the static output feedback stabilization issue and outputfeedback guaranteed cost controller design of a class of discrete-time nonlinear systems with time-delay. First, by static output feedback controller, the new sufficient conditions for static output feedback stabilization of a class of discrete-time nonlinear systems with time-delay are presented. Then, we establish the new delayindependent sufficient conditions for existence of the guaranteed cost control by static output-feedback controller in terms of matrix inequalities. Finally, two examples are given to show the effectiveness of our proposed approaches. 2000 MSC 93D15; 93C55; 34K20; 34D23.